Haag–Łopuszański–Sohnius theorem
Theorem in theoretical physics / From Wikipedia, the free encyclopedia
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In theoretical physics, the Haag–Łopuszański–Sohnius theorem states that if both commutating and anticommutating generators are considered, then the only way to nontrivially mix spacetime and internal symmetries is through supersymmetry. The anticommutating generators must be spin-1/2 spinors which can additionally admit their own internal symmetry known as R-symmetry. The theorem is a generalization of the Coleman–Mandula theorem to Lie superalgebras. It was proved in 1975 by Rudolf Haag, Jan Łopuszański, and Martin Sohnius[1] as a response to the development of the first supersymmetric field theories by Julius Wess and Bruno Zumino in 1974.